Dissection of square to two identical polygons
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5/2 |
6/2 |
7/2 |
7/3 |
8/2 |
8/3 |
9/2 |
9/3 |
9/4 |
10/2 |
10/3 |
10/4 |
12/2 |
12/3 |
12/4 |
12/5 |
12
| 9
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| 1110
| 10
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| 16
| 1514
| 14
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Square — 2 × Triangle (5 pieces)
Discovered by Ernest Irving Freese.
The dissection is translational.
Square — 2 × Square (4 pieces)
The dissection is translational and hingeable.
Square — 2 × Pentagon (8 pieces)
Square — 2 × Hexagon (7 pieces)
The dissection is translational.
Square — 2 × Heptagon (11 pieces)
Square — 2 × Octagon (10 pieces)
Square — 2 × Enneagon (13 pieces)
Square — 2 × Decagon (10 pieces)
Square — 2 × Hendecagon (14 pieces)
Square — 2 × Dodecagon (8 pieces)
Discovered by Ernest Irving Freese.
Square — 2 × Pentagram (12 pieces)
Square — 2 × Hexagram (9 pieces)
The dissection is translational.
Square — 2 × Octagram {8/2} (11 pieces)
Square — 2 × Octagram {8/2} (10 pieces with 3 turned over)
I discovered the original dissection, but Greg Frederickson worked out how to
save a piece by turning over pieces.
Square — 2 × Octagram {8/3} (10 pieces)
Square — 2 × Decagram {10/4} (16 pieces)
Square — 2 × Dodecagram {12/2} (15 pieces)
Square — 2 × Dodecagram {12/2} (14 pieces with 1 turned over)
Square — 2 × Dodecagram {12/3} (14 pieces)
Square — 2 × Silver Rectangle (5 pieces)
The dissection is translational.
Square — 2 × Golden Rectangle (5 pieces)
The dissection is translational.
Square — 2 × Domino (2 pieces)
The dissection is translational.
Square — 2 × Greek Cross (4 pieces)
Discovered by Sam Loyd (1893).
The dissection is translational and hingeable.
Square — 2 × Latin Cross (7 pieces)
Square — 2 × Curved Greek Cross (13 pieces)
Square — 2 × Curved Latin Cross (16 pieces)
Square — 2 × Maltese Cross (12 pieces)
The dissection is translational and hingeable.